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12514320 = 24325713191
BaseRepresentation
bin101111101111…
…010000010000
3212112210102100
4233233100100
511200424240
61124120400
7211240620
oct57572020
925483370
1012514320
117078215
124236100
132792130
14193a880
151172e30
hexbef410

12514320 has 240 divisors, whose sum is σ = 51996672. Its totient is φ = 2626560.

The previous prime is 12514303. The next prime is 12514321. The reversal of 12514320 is 2341521.

12514320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12514293 and 12514302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12514321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65425 + ... + 65615.

Almost surely, 212514320 is an apocalyptic number.

12514320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12514320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25998336).

12514320 is an abundant number, since it is smaller than the sum of its proper divisors (39482352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12514320 is a wasteful number, since it uses less digits than its factorization.

12514320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12514320 is about 3537.5584800820. The cubic root of 12514320 is about 232.1680312626.

Adding to 12514320 its reverse (2341521), we get a palindrome (14855841).

The spelling of 12514320 in words is "twelve million, five hundred fourteen thousand, three hundred twenty".